The origins of this expatriate English name are unknown; in Russian, the park is either simply named Sculpture Park of the Central House of Artists (Russian: Парк скульптуры ЦДХ) or referred to by its legal title, Muzeon Park of Arts (Russian: Парк Искусств, Park Iskustv).

Muzeon Park was established by the City of Moscow in 1992 and currently displays over 700 sculptures. It is split into themed sections, i.e. the Oriental Garden, Pushkin Square, Portrait Row, although the best known part — the fallen monuments themselves — appeared here before 1992. In October 1991, when the Soviet Union collapsed, smaller socialist realism statues of Soviet leaders and unidentifiable workers and peasants were removed from their pedestals, hauled to the park and left in their fallen form. They were rectified later, although missing original pedestals. In 1990s these statues shaped the park outline, but as more and more modern sculpture was added and as the young trees grew up, they became a less obvious minority.

In 1995, Muzeon added a World War II section - these sculptures, of the same socialist realism vintage, were never displayed in open air before. In 1998 the park acquired 300 sculptures of victims of communist rule made by Evgeny Chubarov, installed as a single group. The park also holds temporary summer shows of modern artists.